Fractional diffusion limit of a linear kinetic equation in a bounded domain
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Publication:503020
DOI10.3934/krm.2017021zbMath1353.76074arXiv1607.00855OpenAlexW2962709438MaRDI QIDQ503020
Christian Schmeiser, Pedro Aceves-Sánchez
Publication date: 11 January 2017
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.00855
asymptotic analysisfractional diffusionkinetic transport equationsanomalous diffusion limitlinear Boltzmann operator
Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Fractional derivatives and integrals (26A33)
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Cites Work
- Unnamed Item
- Unnamed Item
- Boundary regularity for the fractional heat equation
- Hitchhiker's guide to the fractional Sobolev spaces
- Ten equivalent definitions of the fractional Laplace operator
- Dirichlet forms and symmetric Markov processes.
- Anomalous transport of particles in plasma physics
- Fractional diffusion limit for collisional kinetic equations
- Limit theorems for additive functionals of a Markov chain
- Estimates on Green functions and Poisson kernels for symmetric stable processes
- Potential theory of subordinate killed Brownian motion in a domain
- Anomalous diffusion limit of kinetic equations in spatially bounded domains
- Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
- Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
- Fractional-Diffusion--Advection Limit of a Kinetic Model
- On the spectrum of two different fractional operators
- ANOMALOUS DIFFUSION LIMIT FOR KINETIC EQUATIONS WITH DEGENERATE COLLISION FREQUENCY
- Fractional diffusion limit for collisional kinetic equations: A moments method
- Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
- Fractional Diffusion Limit for a Fractional Vlasov--Fokker--Planck Equation
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